Melissa is standing 40 ft from a tree. the angle of elevation from where she is standing on the ground to the top of the tree is 50°. how tall is the tree?

Question

asked Nov 24, 2018 106k views

2 Answers

Mikhail Grishko · Answer 1 · 2018-11-29T08:22:22+0000

Answer: Height of a tree is 47.67 feet.

Explanation:

Since we have given that

Melissa is standing 40 ft away from the tree,

The angle of elevation from where she is standing on the ground to the top of the tree is
$50\textdegree$

so, the figure shown below:

In ΔABC,

$\tan 50\textdegreee=(AB)/(BC)\\\\\tan 50\textdegreee=(AB)/(40)\\\\\tan 50\textdegreee* 40=AB\\\\11.91* 40=AB\\\\47.67\ ft=AB$

Hence, Height of a tree is 47.67 feet.